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40620366528 = 2637237611913
BaseRepresentation
bin100101110101001010…
…011001101011000000
310212211220101102101120
4211311022121223000
51131142303212103
630354415232240
72635416263400
oct456512315300
9125756342346
1040620366528
1116255157655
127a57818680
133aa475c351
141d74b36800
1510cb1c9253
hex975299ac0

40620366528 has 336 divisors, whose sum is σ = 130573723104. Its totient is φ = 11101224960.

The previous prime is 40620366511. The next prime is 40620366641. The reversal of 40620366528 is 82566302604.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 40620366528.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21232900 + ... + 21234812.

Almost surely, 240620366528 is an apocalyptic number.

40620366528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40620366528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65286861552).

40620366528 is an abundant number, since it is smaller than the sum of its proper divisors (89953356576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40620366528 is a wasteful number, since it uses less digits than its factorization.

40620366528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2040 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 40620366528 in words is "forty billion, six hundred twenty million, three hundred sixty-six thousand, five hundred twenty-eight".